What is the central limit theorem in statistics? A) It states that as the sample size increases, the sampling distribution of the sample mean approaches a normal distribution. B) It asserts that the mean of a large sample drawn from a population will be approximately equal to the population mean. C) It describes the relationship between the standard deviation of a population and the standard deviation of the sample. D) It states that outliers have a significant impact on the mean of a sample.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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What is the central limit theorem in statistics?
A) It states that as the sample size increases, the sampling distribution of the sample mean
approaches a normal distribution.
B) It asserts that the mean of a large sample drawn from a population will be approximately equal
to the population mean.
C) It describes the relationship between the standard deviation of a population and the standard
deviation of the sample.
D) It states that outliers have a significant impact on the mean of a sample.
Transcribed Image Text:What is the central limit theorem in statistics? A) It states that as the sample size increases, the sampling distribution of the sample mean approaches a normal distribution. B) It asserts that the mean of a large sample drawn from a population will be approximately equal to the population mean. C) It describes the relationship between the standard deviation of a population and the standard deviation of the sample. D) It states that outliers have a significant impact on the mean of a sample.
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